Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer:
The Third one
Step-by-step explanation:
Because the y is not included in the function ( see some lines ) and x is the same thing but it is larger than -3 and it is included in the function .
I hope that it's a clear solution and explanation.
Answer: 288cm²
Explanation:
In the given trapezoid, there are 2 right angled triangles and 1 rectangles.
So,
area of trapezoid
=area of 2 right angled triangles +1 rectangle
=2×[16×3]/2 + 15×16
=48+240
=288 cm²
Note:
Area of right angled triangle
=(base× height)/2
&,
Area of rectangle
= length ×breadth
From what i gathered... i think i<span>t would be 3.5?
Hope i</span><span>t helps. . . . </span>
The distance around the park is the perimeter.
To find the perimeter add two lengths plus two widths:
Perimeter = 4.6 +4.6 + 2.7 +2.7 = 14.6 miles
